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Discrete Math and Analyzing Social Graphs
Week 2
Distributing Candies Among Kids

Practice QuizPractice Quiz • 10 min10 minutes

Distributing Candies Among Kids

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Distributing Candies Among Kids

Practice Quiz • 10 min

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Distributing Candies Among Kids

Total points 2

1.

Question 1

Note that this is a practice quiz. This problem will be discussed in the next video, but we encourage you to try to solve it yourselves first.

There are 15 identical candies. How many ways are there to distribute them among 7 kids?

1 / 1 point

54264

Correct

Note that this is a practice quiz. This problem will be discussed in the next video, but we encourage you to try to solve it yourselves first.

This is correct! Giving each candy we pick one of the kids. The order of our picks does not matter (candies are identical), there are repetitions allowed (we can pick the same kid twice). So we are dealing with combinations of size 15 out of 7 options with repetitions.

See the next video for discussion.

2.

Question 2

There are 15 identical candies. How many ways are there to distribute them among 7 kids in such a way that each kid receives at least 1 candy?

1 / 1 point

3003

Correct

This is correct! We can just give one candy to each kid. This way we will satisfy the requirement (note that we have to give out these candies). Now for the remaining candies we have exactly the same situation as in the previous problem. With each of 8 remaining candies we pick one of the kids. Order does not matter, repetitions are allowed. Thus we have combinations of size 8 out of 7 options with repetitions.